Question

1. two math teachers, clifford and goe, each conducted a hypothesis test with the same hypotheses:

$h_0: p = 0.50$
$h_a: p \
eq 0.50$
in the table below you will find the evidence from a random sample, test statistic, and p - value for both teachers.

	clifford	goe
test statistic	- 2.2	3.111
p - value	0.028	0.002

which teacher has the stronger evidence against the null?
\\(\bigcirc\\) clifford. comparing the test statistic, - 2.2 is smaller than 3.111.
\\(\bigcirc\\) cannot be determined by the information provided.
\\(\bigcirc\\) neither. both teachers found a sample proportion that is 0.11 away from 0.50.
\\(\bigcirc\\) goe. comparing the p - values, 0.002 is smaller than 0.028.

Explanation:

In hypothesis testing, a smaller p-value indicates stronger evidence against the null hypothesis. Cliff's p-value is 0.028, and Goe's p-value is 0.002. Since 0.002 < 0.028, Goe has stronger evidence against the null.

Answer:

Goe. Comparing the p-values, 0.002 is smaller than 0.028.